Uniform convergence of penalized splines

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2020 English Publisher:WileyJournal:Stat, volume 9 (issn: 2049-1573, eissn: 2049-1573,

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Authors: Luo Xiao; Zhe Nan;

doi: 10.1002/sta4.297

Uniform convergence of penalized splines

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Abstract

Penalized splines are popular for nonparametric regression. We establish the minimax rate optimality of penalized splines for uniform convergence, thus improving the existing rate in the literature. The result is applicable to several types of penalized splines that are commonly used and holds under mild conditions on the design points.

Related Organizations

Zhejiang University of Science and Technology
China (People's Republic of)
North Carolina State University
United States
North Carolina Agricultural and Technical State University
United States
Zhejiang University of Technology
China (People's Republic of)

Keywords

rate optimality, nonparametric regression, penalized splines, Statistics, uniform convergence

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